Question 165

$$\sqrt{1764} + 22 = \sqrt{?}$$

Solution

We know that 1764 is a perfect square of 42.

$$42^{2}=1764$$

Hence,

$$\sqrt{1764}=42$$

$$\sqrt{1764}+22=42+22$$

$$\sqrt{1764}+22=64$$

We know that square of 64 is 4096.

$$64^{2}=4096$$

Hence,

$$\sqrt{4096}=64$$

Therefore,

$$\sqrt{1764}+22=\sqrt{4096}$$

Hence, Option B is the correct answer.


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